Implications of a formal context (G,M,I) have a minimal implication basis, called Duquenne-Guigues basis or stem base. It is shown that the problem of deciding whether
a set of attributes is a premise of the stem base is in coNP and determining the size of the stem base is polynomially Turingequivalent to a #P-complete problem.
%0 Journal Article
%1 keyhere
%A Kuznetsov, Sergei
%A Obiedkov, Sergei
%D 2006
%J Formal Concept Analysis
%K #P complexity fca pseudo-intent theory
%P 306--308
%T Counting Pseudo-intents and #P-completeness
%U http://dx.doi.org/10.1007/11671404_21
%X Implications of a formal context (G,M,I) have a minimal implication basis, called Duquenne-Guigues basis or stem base. It is shown that the problem of deciding whether
a set of attributes is a premise of the stem base is in coNP and determining the size of the stem base is polynomially Turingequivalent to a #P-complete problem.
@article{keyhere,
abstract = {Implications of a formal context (G,M,I) have a minimal implication basis, called Duquenne-Guigues basis or stem base. It is shown that the problem of deciding whether
a set of attributes is a premise of the stem base is in coNP and determining the size of the stem base is polynomially Turingequivalent to a #P-complete problem.},
added-at = {2009-02-17T11:07:31.000+0100},
author = {Kuznetsov, Sergei and Obiedkov, Sergei},
biburl = {https://www.bibsonomy.org/bibtex/2de0a8419ab5d374012b9d05498f840b0/folke},
description = {Recognizing pseudo-intents is in coNP},
interhash = {621d51fff81b1ed566607b7e18480dbc},
intrahash = {de0a8419ab5d374012b9d05498f840b0},
journal = {Formal Concept Analysis},
keywords = {#P complexity fca pseudo-intent theory},
pages = {306--308},
timestamp = {2009-02-17T11:07:31.000+0100},
title = {Counting Pseudo-intents and #P-completeness},
url = {http://dx.doi.org/10.1007/11671404_21},
year = 2006
}